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Finding the Third Proportional to 169,368.19 and 262,560.94

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Solution

The third proportional to 169,368.19 and 262,560.94 is: 407,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,368.19 : 262,560.94 = 262,560.94 : x
  2. Step 2: Convert to fraction form
    169,368.19/262,560.94 = 262,560.94/x
  3. Step 3: Cross multiply
    169,368.19x = 262,560.94 × 262,560.94
  4. Step 4: Simplify right side
    169,368.19x = 68,938,245,900.88
  5. Step 5: Solve for x
    x = 68,938,245,900.88/169,368.19
  6. Step 6: Final answer
    x = 407,031.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.